Routing in Multi-class Queueing Networks

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ISBN 13 :
Total Pages : 146 pages
Book Rating : 4.:/5 (575 download)

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Book Synopsis Routing in Multi-class Queueing Networks by : Christopher Kirkbride

Download or read book Routing in Multi-class Queueing Networks written by Christopher Kirkbride and published by . This book was released on 2005 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks

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Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.:/5 (129 download)

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Book Synopsis Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks by : Chang Su

Download or read book Target-pursuing Policies for Scheduling and Routing in Multiclass Queueing Networks written by Chang Su and published by . This book was released on 2004 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiclass Queueing Networks with State Dependent Routing

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ISBN 13 :
Total Pages : 49 pages
Book Rating : 4.:/5 (722 download)

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Book Synopsis Multiclass Queueing Networks with State Dependent Routing by : International Business Machines Corporation. Research Division

Download or read book Multiclass Queueing Networks with State Dependent Routing written by International Business Machines Corporation. Research Division and published by . This book was released on 1982 with total page 49 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Approximation Procedure for General Closed Multiclass Queueing Networks with Deterministic Routing

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Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (387 download)

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Book Synopsis An Approximation Procedure for General Closed Multiclass Queueing Networks with Deterministic Routing by : Vijay Mehrotra

Download or read book An Approximation Procedure for General Closed Multiclass Queueing Networks with Deterministic Routing written by Vijay Mehrotra and published by . This book was released on 1992 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780656484010
Total Pages : 26 pages
Book Rating : 4.4/5 (84 download)

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Book Synopsis On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint) by : J. G. Dai

Download or read book On the Convergence of Multiclass Queueing Networks in Heavy Traffic (Classic Reprint) written by J. G. Dai and published by Forgotten Books. This book was released on 2018-02-13 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the Convergence of Multiclass Queueing Networks in Heavy Traffic In his pioneering paper on queueing networks, Jackson [22] assumed that customers visiting or occupying any given station are essentially indistinguishable from one another, and that a customer completing service at station i will move next to station j with some fixed probability n, independent of all previous history. Thus in Jackson's networks, each station serves a single customer class, hence these networks have been called single-class networks. Jackson's model was extended by Baskett ci al. [1] and Kelly [24] to networks populated by multiple types of customers, each type following a deterministic route. The routing mechanism described in this paper subsumes those considered in [1, Readers are referred to Harrison [14] and Harrison and Nguyen [15, 16] for further discussion. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Analysis of Queueing Networks with Blocking

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Publisher : Springer Science & Business Media
ISBN 13 : 1475733453
Total Pages : 256 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Analysis of Queueing Networks with Blocking by : Simonetta Balsamo

Download or read book Analysis of Queueing Networks with Blocking written by Simonetta Balsamo and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing network models have been widely applied as a powerful tool for modelling, performance evaluation, and prediction of discrete flow systems, such as computer systems, communication networks, production lines, and manufacturing systems. Queueing network models with finite capacity queues and blocking have been introduced and applied as even more realistic models of systems with finite capacity resources and with population constraints. In recent years, research in this field has grown rapidly. Analysis of Queueing Networks with Blocking introduces queueing network models with finite capacity and various types of blocking mechanisms. It gives a comprehensive definition of the analytical model underlying these blocking queueing networks. It surveys exact and approximate analytical solution methods and algorithms and their relevant properties. It also presents various application examples of queueing networks to model computer systems and communication networks. This book is organized in three parts. Part I introduces queueing networks with blocking and various application examples. Part II deals with exact and approximate analysis of queueing networks with blocking and the condition under which the various techniques can be applied. Part III presents a review of various properties of networks with blocking, describing several equivalence properties both between networks with and without blocking and between different blocking types. Approximate solution methods for the buffer allocation problem are presented.

Customer Choice and Routing in Queueing Networks

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Customer Choice and Routing in Queueing Networks by : Sunil Kumar

Download or read book Customer Choice and Routing in Queueing Networks written by Sunil Kumar and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study self-interested routing in stochastic networks, taking into account the discrete stochastic dynamics of such networks. We analyze a two station multiclass queueing network in which the system manager chooses the scheduling rule used, and individual customers choose routes in a self-interested manner. We show that this network can be unstable in Nash equilibrium when the scheduling rule is chosen naively by the system manager. We also design a non-trivial scheduling rule that negates the performance degradation due to self-interested routing and achieves a Nash equilibrium with excellent performance.

Fundamentals of Queueing Networks

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Publisher : Springer Science & Business Media
ISBN 13 : 1475753012
Total Pages : 407 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fundamentals of Queueing Networks by : Hong Chen

Download or read book Fundamentals of Queueing Networks written by Hong Chen and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible book aims to collect in a single volume the essentials of stochastic networks. Stochastic networks have become widely used as a basic model of many physical systems in a diverse range of fields. Written by leading authors in the field, this book is meant to be used as a reference or supplementary reading by practitioners in operations research, computer systems, communications networks, production planning, and logistics.

An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks by : Kevin D. Glazebrook

Download or read book An Intuitive Condition for Stability and Performance Analysis of Multiclass Queueing Networks written by Kevin D. Glazebrook and published by . This book was released on 2004 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We present an intuitive stability condition for open multiclass queueing networks with Bernoulli routing: if each station has enough service capacity to cope with its peak traffic intensity, then the network is stable under any stationary nonidling scheduling policy. The condition is close to sharp for networks with light traffic between stations. Under this peak-rate condition, in the case of Markovian networks, we derive a closed-form upper bound on the time-average number of customers in the system, which is uniformly valid under all stationary nonidling policies. Our proof combines two recent results concerning (1) the relation between stability and performance via linear programming developed by Kumar and Meyn (1996); and (2) the work decomposition laws for multiclass queueing networks of Bertsimas and Ni?o-Mora (1999). The stability condition is tested on a generalization of the Lu-Kumar network, which shows how its quality depends on the degree of network connectivity.

Robust Fluid Control of Multiclass Queueing Networks

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ISBN 13 :
Total Pages : 92 pages
Book Rating : 4.:/5 (858 download)

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Book Synopsis Robust Fluid Control of Multiclass Queueing Networks by : Hua Su (S.M.)

Download or read book Robust Fluid Control of Multiclass Queueing Networks written by Hua Su (S.M.) and published by . This book was released on 2006 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis applies recent advances in the field of robust optimization to the optimal control of multiclass queueing networks. We develop models that take into account the uncertainty of interarrival and service time in multiclass queueing network problems without assuming a specific probability distribution, while remaining highly tractable and providing insight into the corresponding optimal control policy. Our approach also allows us to adjust the level of robustness of the solution to trade off performance and protection against uncertainty. We apply robust optimization to both open and closed queueing networks. For open queueing networks, we study control problems that involve sequencing, routing and input control decision, and optimize the total holding cost. For closed queueing networks, we focus on the sequencing problem and optimize the throughput. We compare the robust solutions to those derived by fluid control, dynamic programming and stochastic input control. We show that the robust control policy leads to better performance. Robust optimization emerges as a promising methodology to address a wide range of multiclass queueing networks subject to uncertainty, as it leads to representations of randomness that make few assumptions on the underlying probabilities. It also remains numerically tractable, and provides theoretical insights into the structure of the optimal control policy.

Robust Scheduling for Queueing Networks

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ISBN 13 :
Total Pages : 101 pages
Book Rating : 4.:/5 (919 download)

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Book Synopsis Robust Scheduling for Queueing Networks by : Ramtin Pedarsani

Download or read book Robust Scheduling for Queueing Networks written by Ramtin Pedarsani and published by . This book was released on 2015 with total page 101 pages. Available in PDF, EPUB and Kindle. Book excerpt: Queueing networks are used to model complicated processing environments such as data centers, call centers, transportation networks, health systems, etc. A queueing network consists of multiple interconnected queues with some routing structure, and a set of servers that have different and possibly overlapping capabilities in processing tasks (jobs) of different queues. One of the most important challenges in designing processing systems is to come up with a low-complexity and efficient scheduling policy. In this thesis, we consider the problem of robust scheduling for various types of processing networks. We call a policy robust if it does not depend on system parameters such as arrival and service rates. A major challenge in designing efficient scheduling policies for new large-scale processing networks is the lack of reliable estimates of system parameters; thus, designing a robust scheduling policy is of great practical interest. We develop a novel methodology for designing robust scheduling policies for queueing networks. The key idea of our design is to use the queue-length changes information to learn the right allocation of service resources to different tasks by stochastic gradient projection method. Our scheduling policy is oblivious to the knowledge of arrival rates and service rates of tasks in the network. Further, we propose a new fork-join processing network for scheduling jobs that are represented as directed acyclic graphs. We apply our robust scheduling policy to this fork-join network, and prove rate stability of the network under some mild assumptions. Next, we consider the stability of open multiclass queueing networks under longest-queue (LQ) scheduling. LQ scheduling is of great practical interest since (a) it requires only local decisions per group of queues; (b) the policy is robust to knowledge of arrival rates, service rates and routing probabilities of the network. Throughput-optimality of LQ scheduling policy for open multiclass queueing network is still an open problem. We resolve the open problem for a special case of multiclass queueing networks with two servers that can each process two queues, and show that LQ is indeed throughput-optimal. Finally, we consider transportation networks that can be well modeled by queueing networks. We abstractly model a network of signalized intersections regulated by fixed-time controls as a deterministic queueing network with periodic arrival and service rates. This system is characterized by a delay-differential equation. We show that there exists a unique periodic trajectory of queue-lengths, and every trajectory or solution of the system converges to this periodic trajectory, independent of the initial conditions.

Self-Interested Routing in Queuing Networks

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Self-Interested Routing in Queuing Networks by : Sunil Kumar

Download or read book Self-Interested Routing in Queuing Networks written by Sunil Kumar and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: We study self-interested routing in stochastic networks, taking into account the discrete stochastic dynamics of such networks. We analyze a two station multiclass queueing network in which the system manager chooses the scheduling rule used, and individual customers choose routes in a self-interested manner. We show that this network can be unstable in Nash equilibrium under some scheduling rules. We also design a non-trivial scheduling rule that negates the performance degradation due to self-interested routing and achieves a Nash equilibrium with performance comparable to the first-best solution.

Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic (Classic Reprint)

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Publisher : Forgotten Books
ISBN 13 : 9780365647829
Total Pages : 78 pages
Book Rating : 4.6/5 (478 download)

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Book Synopsis Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic (Classic Reprint) by : Lawrence M. Wein

Download or read book Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic (Classic Reprint) written by Lawrence M. Wein and published by Forgotten Books. This book was released on 2018-03-28 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic The queueing network model can also accomodate machine breakdown and repair. By assuming that the amount of machine busy time between consecutive breakdowns is exponentially distributed, the breakdown and repair can be incorporated into the service time distributions for each customer class; see Harrison [4] for details. The modified rm and sf, are interpreted as the mean and variance of the effective service time of a class k. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic

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Publisher : Palala Press
ISBN 13 : 9781341890093
Total Pages : 80 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic by : Lawrence M Wein

Download or read book Scheduling a Two-Station Multiclass Queueing Network in Heavy Traffic written by Lawrence M Wein and published by Palala Press. This book was released on 2015-09-07 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Scheduling and Control of Queueing Networks

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Publisher : Cambridge University Press
ISBN 13 : 1108245773
Total Pages : 448 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis Scheduling and Control of Queueing Networks by : Gideon Weiss

Download or read book Scheduling and Control of Queueing Networks written by Gideon Weiss and published by Cambridge University Press. This book was released on 2021-10-14 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Applications of queueing network models have multiplied in the last generation, including scheduling of large manufacturing systems, control of patient flow in health systems, load balancing in cloud computing, and matching in ride sharing. These problems are too large and complex for exact solution, but their scale allows approximation. This book is the first comprehensive treatment of fluid scaling, diffusion scaling, and many-server scaling in a single text presented at a level suitable for graduate students. Fluid scaling is used to verify stability, in particular treating max weight policies, and to study optimal control of transient queueing networks. Diffusion scaling is used to control systems in balanced heavy traffic, by solving for optimal scheduling, admission control, and routing in Brownian networks. Many-server scaling is studied in the quality and efficiency driven Halfin–Whitt regime and applied to load balancing in the supermarket model and to bipartite matching in ride-sharing applications.

Analytic Methods in Applied Probability

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821833063
Total Pages : 228 pages
Book Rating : 4.8/5 (33 download)

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Book Synopsis Analytic Methods in Applied Probability by : Yu. M. Suhov

Download or read book Analytic Methods in Applied Probability written by Yu. M. Suhov and published by American Mathematical Soc.. This book was released on 2002 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to F. I. Karpelevich, an outstanding Russian mathematician who made important contributions to applied probability theory. The book contains original papers focusing on several areas of applied probability and its uses in modern industrial processes, telecommunications, computing, mathematical economics, and finance. It opens with a review of Karpelevich's contributions to applied probability theory and includes a bibliography of his works. Other articles discuss queueing network theory, in particular, in heavy traffic approximation (fluid models). The book is suitable for graduate students, theoretical and applied probabilists, computer scientists, and engineers.

Scheduling and Control of Queueing Networks

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Publisher : Cambridge University Press
ISBN 13 : 1108415326
Total Pages : 447 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Scheduling and Control of Queueing Networks by : Gideon Weiss

Download or read book Scheduling and Control of Queueing Networks written by Gideon Weiss and published by Cambridge University Press. This book was released on 2021-10-14 with total page 447 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate text on theory and methods using applied probability techniques for scheduling service, manufacturing, and information networks.